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Finding the Fourth Proportional to 280,851.04, 387,580.44 and 153,538.48

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Solution

The fourth proportional to 280,851.04, 387,580.44 and 153,538.48 is: 211,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,851.04 : 387,580.44 = 153,538.48 : x
  2. Step 2: Convert to fraction form
    280,851.04/387,580.44 = 153,538.48/x
  3. Step 3: Cross multiply
    280,851.04x = 387,580.44 × 153,538.48
  4. Step 4: Simplify right side
    280,851.04x = 59,508,511,635.33
  5. Step 5: Solve for x
    x = 59,508,511,635.33/280,851.04
  6. Step 6: Final answer
    x = 211,886.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.